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2857743468 = 2232237148611
BaseRepresentation
bin1010101001010101…
…1011010001101100
321101011100102001200
42222111123101230
521323040242333
61151323205500
7130550263416
oct25225332154
97334312050
102857743468
111237137a68
12679076890
13367097088
141d17759b6
1511ad43c13
hexaa55b46c

2857743468 has 72 divisors (see below), whose sum is σ = 7644139776. Its totient is φ = 898312800.

The previous prime is 2857743467. The next prime is 2857743479. The reversal of 2857743468 is 8643477582.

2857743468 is a `hidden beast` number, since 2 + 8 + 577 + 4 + 3 + 4 + 68 = 666.

2857743468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2857743467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34483 + ... + 83093.

It is an arithmetic number, because the mean of its divisors is an integer number (106168608).

Almost surely, 22857743468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2857743468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822069888).

2857743468 is an abundant number, since it is smaller than the sum of its proper divisors (4786396308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2857743468 is a wasteful number, since it uses less digits than its factorization.

2857743468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48715 (or 48710 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 2857743468 is about 53457.8662873856. The cubic root of 2857743468 is about 1419.0828349691.

The spelling of 2857743468 in words is "two billion, eight hundred fifty-seven million, seven hundred forty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 71 92 138 142 207 213 276 284 414 426 639 828 852 1278 1633 2556 3266 4899 6532 9798 14697 19596 29394 48611 58788 97222 145833 194444 291666 437499 583332 874998 1118053 1749996 2236106 3354159 3451381 4472212 6708318 6902762 10062477 10354143 13416636 13805524 20124954 20708286 31062429 40249908 41416572 62124858 79381763 124249716 158763526 238145289 317527052 476290578 714435867 952581156 1428871734 2857743468